Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model

Abstract

We calculate the condensate fraction and the condensate and non-condensate spatial and momentum distribution of the Bose-Hubbard model in a trap. From our results, it is evident that using approximate distributions can lead to erroneous experimental estimates of the condensate. Strong interactions cause the condensate to develop pedestal-like structures around the central peak that can be mistaken as non-condensate atoms. Near the transition temperature, the peak itself can include a significant non-condensate component. Using distributions generated from QMC simulations, experiments can map their measurements for higher accuracy in identifying phase transitions and temperature.

5 pages, 3 figures, 1 table

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
• Expansion of a quantum gas released from an optical lattice
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Quantum Criticality from in-situ Density Imaging
• Signal of Bose condensation in an optical lattice at finite temperature
• Condensate fraction of cold gases in non-uniform external potential

Cited by in corpus (5)

• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Single-atom-resolved probing of lattice gases in momentum space
• Certifying the adiabatic preparation of ultracold lattice bosons in the vicinity of the Mott transition
• Bogoliubov theory on the disordered lattice
• Metastable Bose-Einstein Condensation in a Strongly Correlated Optical Lattice